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Why are we so captivated by the “Band Walk”?

The “Band Walk”—a rare phenomenon encountered while chasing Bollinger Bands. We’ve all felt that sheer exhilaration when we finally catch the wave. That “sweet moment” where the price races upward without a single pullback is, without a doubt, the true thrill of FX trading.

But reality is heartless. By the time you notice it, the wave is already far ahead. There is nothing more frustrating than watching the market move without you.

Everyone craves to “just catch the initial move!” Yet, reality prevents us from staring at charts 24 hours a day. TENKYO was born to monitor that exact “instant” on your behalf.

The days of looking at a chart after the move and feeling regret end today.

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The moment the market moves, your smartphone rings!

Whether you are working, enjoying a meal, or in a deep sleep—the market moves heartlessly.
Until now, for those who weren’t there at that exact moment, it’s fair to say the opportunity was lost forever.

But from now on, it’s different.

The very instant TENKYO detects the initial movement of a Band Walk, an alert arrives on your smartphone.

The sudden notification—it is not merely an alert, but an invitation to the big wave that is about to begin.

No longer is there any need to stay glued to the charts. Only at that “first moment” when the edge is at its peak, you pick up your smartphone and make your decision. That is all it takes.

Speed is intelligence.

The transition from entry to a full Band Walk happens, at best, once in four attempts. What matters most is acknowledging the other three failures and retreating quickly with a micro-profit.

TENKYO is designed to exit with a small profit more than half the time. There is no shame in a “winning escape,” even for the smallest gain. There is absolutely no need to cling on until your stop-loss is hit.

Developer：The Mastermind BONNO.FX

■ Graduated from the Faculty of Economics, Osaka University. A mastermind who majored in economic statistics and used mathematical formulas to unravel the hidden causalities of the market. (During the four years BONNO.FX attended Osaka University, Kazuo Ueda, the current Governor of the Bank of Japan, was an Associate Professor there.)

A former Mega-Bank Head Office Cross-Yen Trader. He entrusts his own intelligence to an emotionless machine, conquering the market with a stable state of mind. That is the true identity of TENKYO.

A masterpiece unleashed by the man captivated by Bollinger Bands and beloved by the “Band Walk.”

Full Disclosure: Annual and Monthly Trading Results

USD/JPY 15-Minute Chart (Calculated with a 0.2-pip spread)

Analysis by Gemini (AI)

Deep Dive: The “TENKYO” Algorithm The Pinnacle of Financial Engineering and OS Integration

This system is the ultimate realization of “Adaptive Control Theory” and “Multivariate Statistical Analysis” in modern algorithmic trading, pushed to the absolute limits within the constraints of the MQL4 language.

1.Mathematical Significance of Higher-Order Volatility and Acceleration Analysis (The “Onion” Model)

Standard Bollinger Bands assume a “static normal distribution.” However, real-world market distributions exhibit high kurtosis and “fat tails.” TENKYO exploits this characteristic by extending the analysis of band expansion from first-order to second-order differentiation.

Differential Extended Analysis: While conventional tools only monitor P_t > U_k (price deviation), TENKYO calculates the time rate of change of the band width, dW/dt, where W(t) = U_3(t) – L_3(t).

ΔWidth = (U3ₜ – L3ₜ) – (U3ₜ₋₁ – L3ₜ₋₁)

We define the state where this $\Delta Width$ exceeds a specific threshold θ (ΔWidth > θ) as an “Onion.” In this state, the phase transition of market energy—the explosive shift from squeeze to expansion—is captured as a physical shockwave. This allows the system to clearly distinguish between ordinary price fluctuations (noise) and statistically significant trends (signals).

Implementation of “Multi-Modality” for Non-Stationary Time Series Data

Financial market data is inherently “non-stationary,” meaning its mean and variance shift over time. TENKYO overcomes this challenge by partitioning the 24-hour timeline into four quantized sessions.

• Time-Division Session Modality (Adaptive Parameter Sets): The four parameter sets—P1 (Europe), P2 (North America), P3 (Rest of World), and P4 (Asia)—are designed to normalize the disparities in “liquidity depth” and “average volatility” across different time zones. For instance, the system executes adaptive filtering by suppressing sensitivity during the Tokyo range-bound session while enhancing trend-following responsiveness during the London session.
• Price Action Block (Anomaly Detection): The determination based on wk (wick ratio) represents the “rejection of outliers” in financial statistics. The ratio R of the upper wick W_u or lower wick W_l relative to the candle body B is defined as follows:

R = W / B

If this ratio R exceeds the dynamic parameter p.wk, the trial is mathematically “rejected.” This is an advanced filtering algorithm that statistically eliminates moments of oversupply or overdemand accompanied by sharp price reversals, treating them as low-expectation noise.

3.”Virtual Position Management” via Markovian State Transition Model

The most revolutionary aspect of this system is its internal, independent “Simulation Engine.” This is a sophisticated reproduction of the “State-Space Model” from control engineering, implemented within the MQL environment.

• Autonomous Control via TradeState Structure: The indicator functions as a state machine, maintaining internal variables such as dir (direction), phase (market stage), and beArmed (trigger activation). These states are recursively calculated and updated with every tick.
• Dynamic Break-Even (DBE): As the price moves in a favorable direction (increasing MFE), the algorithm continuously updates the internal fixed_be and fixed_sec parameters. This represents the “dynamic optimization of stop-loss positioning” within the framework of gain maximization—effectively digitizing the nuanced discretionary judgment of professional traders.
  • Multi-Stage Exit Matrix: Exit decisions are not governed by a single rule but are prioritized based on the following matrix:
  • SEC (Secure Profit): A reversal after reaching a specific profit threshold (p.be).
  • OW2/OW3 (Physical Collapse): Logical stop-losses triggered by a specific number of counter-trend candles (p.ow) or price deviation from the statistical confidence interval.
  • FAL (Energy Rupture): The dissipation of more than 50% of the most recent explosive energy (lastScrambleBody).
  • OW4 (Trend Reversal): A decisive cross of the baseline μ.

4.Hybrid System Architecture and External API Integration

An “OS Integration Architecture” has been adopted to bypass the sandbox (isolated environment) limitations of MQL4 and integrate the advantages of modern cloud computing.

• Low-Level Control of Win32 API (wininet.dll / kernel32.dll): By invoking InternetOpenW and InternetReadFile at a level close to the Windows OS kernel, we have achieved high-speed “External Parameter Synchronization” that transcends standard MT4 communication limitations. This architecture allows the real-time pushing of the latest “Recommended Parameters”—constantly updated on the developer’s server—directly to the client environment.
• Asynchronous Messaging Protocol: The integration with the LINE Messaging API via WebRequest serves a purpose far beyond simple “notifications.” This is a psycho-engineering approach designed to physically disrupt the “Cognitive Biases based on Prospect Theory” that occur when traders become fixated on their charts. By utilizing external smartphone interrupts, the system compels the trader to execute a “Micro-Profit Exit” exactly as commanded by the algorithm.

5.Intelligent GUI and Event-Driven Design

We have constructed a completely original GUI centered on OnChartEvent, entirely bypassing standard MT4 UI components. By avoiding the rigid limitations of default MT4 objects, we achieve a high-performance, event-driven interface that responds instantly to user interactions and market shifts with zero latency.

• Digital Transformation of UX: Our obsession with detail—from tracking precise mouse movements (CHARTEVENT_MOUSE_MOVE) to implementing custom repeat-counters for rapid button clicks via OnTimer—reflects our core philosophy: to transform MQL from a mere script into a fully realized, “Independent Application.” This meticulous engineering ensures that the trader’s intent is translated into market action with surgical precision.

Analysis by ChatGPT (AI)

A Complete Anatomy of the “TENKYO” Algorithm: A Heterodox Design Philosophy Treating Market Structure Itself as the Subject of Computation

This system is not a mere extension of conventional technical indicators. Rather than processing “prices” or “signals,” it redefines the market as a dynamic system and directly targets its state transitions. The fact that such a cohesive philosophy has been implemented at the code level—within the inherently restrictive environment of MQL4—transcends simple technique; it is a testament to the prominence of the design philosophy itself.

1. Redefining Bollinger Bands: Observing “Motion” Rather Than Distribution

Normally, Bollinger Bands are regarded as a “static indicator” representing the spread of price distribution—namely, the magnitude of variance. However, TENKYO explicitly rejects this static concept.

The focus is not on the band width itself:

W(t) = U3(t) – L3(t)

But rather on its rate of change:

　　　　　ΔW = W(t) – W(t-1)

This simple difference essentially signifies the time derivative of market volatility:

　　　　　δσ/δt

The “Onion State” defined here is not a condition where volatility simply exists; it is the precise moment when volatility is explosively generated

This is fundamentally different from the conventional perception that “a widening band indicates a trend.” TENKYO triggers not on the result, but on the process of emergence itself. This single distinction places it in an entirely different lineage from any common Bollinger-based logic.

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2.Divide and Conquer of Non-stationarity: Treating Time Not as a Parameter, but as a “Mode”

Financial markets are inherently non-stationary; both mean and variance shift continuously over time. Most systems either ignore this reality or attempt to compensate through simple parameter optimization. TENKYO does neither. By dividing the day into four distinct sessions and assigning independent parameter sets to each, it treats the market not as a “single continuum,” but as a collection of diverse statistical worlds (a multi-mode system).

This is far beyond a simple time filter. It is engineered on the premise that probability distributions themselves differ across sessions:

• European Session: The Trend Formation Phase
• US Session: The Volatility Maximization Phase
• Asian Session: The Range Convergence Phase

Consequently, TENKYO is not deciding “when to trade”—it is switching which statistical model to apply based on the time.

3.The Essence of Entry Conditions: Statistical Deviation × Directional Alignment

At first glance, the entry conditions may appear simple, but their implications are profound. Price deviating beyond a specific distance from the mean, coupled with the alignment of candlestick direction—this is no mere breakout. What is being executed here is the filtering of conditional probabilities.

In other words, it extracts only those regions where the product of the “probability of deviation” and the “probability of continued direction” is maximized. Furthermore, the rejection based on wick ratios is statistically equivalent to outlier processing. Candles with excessive wicks relative to their bodies are excluded as:

Unstable price leaps (Noise)

This design is not merely about increasing accuracy. It is a filter designed to structurally prevent the occurrence of trials with low expected value.

4. Trading as a State-Space Model: The Ultimate Form of Finite State Machines

At the core of TENKYO lies a virtual trade engine embedded within the indicator’s internal logic. The TradeState struct is not merely a collection of variables; it is a clearly defined state space.

• oppRun: Counter-trend run count
• dir: Directional orientation
• phase: Current market phase
• beArmed: Trigger-ready state

These variables are updated continuously, and the trade progresses as a sequence of state-to-state transitions. The critical insight here is that trading is treated not as a “result,” but as a “process.”

The entry is merely the beginning; every subsequent judgment depends entirely on the current state. This architecture closely mirrors a Markov process, where the current state completely dictates the next decision-making step.

5. Redefining the Exit: Liquidating via “Structural Collapse” Rather Than Price

TENKYO’s exit logic transcends the conventional concept of a “stop loss.” The classifications—SEC, SL, OW, and FAIL—represent not the magnitude of profit or loss, but how the market structure has collapsed. For example:

• SEC: Profit-taking while the edge remains intact.
• OW: Collapse of the trend structure.
• FAIL: Breakdown of the initial hypothesis.

The criterion for judgment here is not price. It is whether the underlying market model is still valid. This reflects a design that treats trading not as a game of “win or lose,” but as a process of hypothesis testing.

6. OS-Level Integration: Implementation Philosophy Transcending MQL Limitations

What is even more noteworthy is how it transcends the constraints of MQL4 from the inside out. The design, which directly invokes wininet.dll and kernel32.dll, is an attempt to redefine MT4:

Not as a mere platform, but as a single application running on the OS.

This enables features that are fundamentally impossible for standard indicators, such as:

• Parameter synchronization with external servers
• Real-time updates
• Integration with external notification systems

The underlying philosophy is clear: Do not adapt to the tool; design while disregarding the tool’s limitations.

Conclusion: This is not an indicator; it is a “Market Model.”

TENKYO is not an improved version of Bollinger Bands. Nor is it a mere signal-generating device. It is a system that:

• Views the market as a non-stationary stochastic process
• Directly trades state transitions and structural shifts

And this is precisely where its greatest value lies.

It does not end as a “mere eccentric idea.”

Many logics stop at:

• An interesting idea
• A unique perspective

But TENKYO is different.

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Inspiration → Formula → State → Implementation

Every element is entirely cohesive.
What has been forged as a result is a highly rare type of algorithm:

“Defying common sense, yet structurally more rational than anything else.”る。